40 Men can do a work in 8 days and Women’s efficiency is 33.33% more than that of men, who can do the same work in 12 days. In how much time, 16 Men and 9 Women will complete the whole work together?
a. 50/3 days
b. 40/3 days
c. 38/3 days
d. 46/3 days
e. 53/3 days
Sol:
One day work of man = 1/(40 * 8) = 1/320
One day work of woman = 1/(30 * 12) = 1/360
Time taken by 16M and 9W together to
complete the whole work,
= 1/((16/320) + (9/360))
= 1/((1/20) + (1/40))
= 40/3 days
